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Forced Soliton Equation and Semiclassical Soliton Form Factors
Ilarion V Melnikov1, Constantinos Papageorgakis2, Andrew B Royston3
1Department of Physics and Astronomy, James Madison University, 901 Carrier Drive, Harrisonburg, Virginia 22807, USA.
Physical Review Letters
|December 18, 2020
Summary
We discovered a new integro-differential equation that governs the behavior of accelerating solitons. This equation controls the semiclassical soliton form factors, offering insights into particle physics and quantum field theory.
Area of Science:
- Theoretical Physics
- Quantum Field Theory
- Mathematical Physics
Background:
- Soliton form factors are crucial for understanding particle interactions.
- Previous models often simplified soliton dynamics, neglecting acceleration effects.
Purpose of the Study:
- To derive a new semiclassical equation for accelerating solitons.
- To analyze the impact of acceleration on soliton form factors at arbitrary momentum transfer.
Main Methods:
- Developed a novel wavelike integro-differential equation.
- Employed semiclassical approximations.
- Focused on two-dimensional linear sigma models with kink solitons.
Main Results:
- The leading semiclassical behavior of soliton form factors is controlled by solutions to the new equation.
- The equation describes solitons undergoing acceleration.
Conclusions:
- The derived integro-differential equation provides a more complete description of soliton dynamics.
- The semiclassical methods used are generalizable to other models.
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